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Finding the Fourth Proportional to 2,510.46, 3,764.50 and 754.79

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Solution

The fourth proportional to 2,510.46, 3,764.50 and 754.79 is: 1,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.46 : 3,764.50 = 754.79 : x
  2. Step 2: Convert to fraction form
    2,510.46/3,764.50 = 754.79/x
  3. Step 3: Cross multiply
    2,510.46x = 3,764.50 × 754.79
  4. Step 4: Simplify right side
    2,510.46x = 2,841,406.96
  5. Step 5: Solve for x
    x = 2,841,406.96/2,510.46
  6. Step 6: Final answer
    x = 1,131.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.